Upper bounds for the blow up time for the Kirchhoff- type equation

Year 2023, Volume: 72 Issue: 2, 352 - 362, 23.06.2023

Yavuz Dinç , Erhan Pişkin , Prof.dr.cemil Tunc

https://doi.org/10.31801/cfsuasmas.1146782

https://izlik.org/JA96NB34GH

Abstract

In this research, we take into account the Kirchhoff type equation with variable exponent. The Kirchhoff type equation is known as a kind of evolution equations,namely, PDEs, where t is an independent variable. This type problem can be extensively used in many mathematical models of various applied sciences such as flows of electrorheological fluids, thin liquid films, and so on. This research, we investigate the upper bound for blow up time under suitable conditions.

Keywords

Blow up , Kirchhoff-type equation , variable exponent

Thanks

This article was presented in summary at the 4th International Conference on Pure and Applied Mathematics (ICPAM - VAN 2022), Van-Turkey, 22-23 June 2022.

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